1+1
2+2
3+3
Add all that up

The original amount placed in the account is $320.

What is simple interest ?

Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.

The simplest way to compute interest is as a percentage of the principal. For instance, if you borrow $100 from a friend and agree to pay back the money with 5% interest, the interest you would have to pay would simply be 5% of $100, or $5.

Simple Interest is the amount repaid for using the borrowed funds over a predetermined amount of time.

The interest earned is calculated as follows:

I = P*r*t

Where:

I = Interest

P = initial principal balance

r = interest rate

t = time

Marvin is saving money in a savings account with a simple interest rate of r=7.5%=0.075. It's known that after t=12 years, the account had earned $288 interest.

Substituting in the formula:

288 = P*0.075*12

Calculating:

288 = 0.9P

Dividing by 0.9:

P = $320

To learn more about simple interest from the given link  

https://brainly.com/question/21152243

#SPJ4

Answer:

yes they do

Step-by-step explanation:

both equal 1/3

8/24 = 1/3

5/15 = 1/3

1/3 = 1/3

Answer:

No, the ratios won't

Step-by-step explanation:

8/25  and 5/15.

they have Similarities, but no proportions.

have a good day!

Answer:

D) 4

Step-by-step explanation:

Take the square root of Miriam's starting bacteria to get your answer [tex](\sqrt{16})[/tex]because the exponent in Jessica's equation is the square of Miriam's.

The combined gas law for a gas is discussed below.

Given is the combined gas law.

The ideal combined gas law is given by →

PV = nRT

Where -

{P} = pressure     {T} = temperature     {V} = volume    

{n} = number of moles   {R} = gas constant

Non ideal gases are often modelled by the Van der Waals equation as →

(p + n²a/V²)(V - nb) = nRT

Where -

{a} and {b} = constants for a particular gas

{p} = pressure       {v} = volume    

{n} = number of moles       {t} = temperature  

{R} = gas constant

Therefore, the combined gas law for a gas is discussed above.

To solve more questions on gas laws, visit the link below -

https://brainly.com/question/12669509

#SPJ1

The average rate of the given function is 2.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is h(x)=-x²-x+5 and the interval is -6≤x≤2.

x={-6, -5, -4, -3, -2, -1, 0, 1, 2}

y=-x²-x+5

When x=-2

y=-(-2)²-(-2)+5

y=-4+4+5

y=5

When x=-1

y=-(-1)²-(-1)+5

y=5

When x=0

y=5

When x=1

y=-1-1+5

y=3

When x=2

y=-(2)²-(2)+5

y=-1

Now, rate using (1, 3) and (2, -1), we get

m =(-1-1)/(2-3)

m=2

Therefore, the average rate of the given function is 2.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ1

Using the linear function given, the tree will have a height of 5.25 feet in 3 years

Linear functions are mathematical functions where the output values are in direct proportion to the input values. A linear function has the form

y = mx + c, where m is the slope of the line and c is the y-intercept.

In this problem, the function given already models y = mx + c

Since y = 3/4x + 3;

The height of the tree in 3 years can be solved as;

y = 3/4(3) + 3

y = 9/4 + 3

y = 5.25

The height of the tree in 3 years is 5.25 feet

Learn more on linear function here;

https://brainly.com/question/15602982

#SPJ1

Answer:

The answer to the proportion is 45:25.

Step-by-step explanation:

To solve this proportion, we can use cross multiplication. That is, we can multiply the numerator of the first ratio (45) by the denominator of the second ratio (10) and the numerator of the second ratio (50) by the denominator of the first ratio (?). This will give us

45 x 10 = 500 and 50 x ? = 500.

If we divide both sides of the equation by 50, we get

? = 25.

Therefore, the answer to the proportion is 45:25.

Step-by-step explanation:

5 (18 - y) when y=6

5 (18 - 6)

5 × 18 - 5× 6

90 - 30

60

Answer:

-44

Step-by-step explanation:

7×-5y

7(-2)-5(6)

-14-30

-44

Answer:

9

Step-by-step explanation:

27 divided by 3 equal 9

Answer:

[tex]l_c=5078.27ft[/tex]

Step-by-step explanation:

From the question we are told that:

Angle of inclination [tex]\angle=72 \textdegree[/tex]

Height [tex]h=4500ft[/tex]

Distance b\w cable base and mountain base [tex]d_{cm}=900ft[/tex]

Generally the equation for length of mountain base [tex]d_{mb}[/tex] is mathematically given by

 [tex]Tan\theta=\frac{h}{d_{mb}}[/tex]

 [tex]d_{mb}=\frac{h}{Tan\theta}[/tex]

 [tex]d_{mb}=\frac{4500}{Tan 72 \textdegree}[/tex]

 [tex]d_{mb}=1462.11ft[/tex]

Generally the Pythagoras equation for length of the cable [tex]l_c[/tex] is mathematically given by

[tex]l_c^2=h^2+(d_{mb}+d_{cm}^2)[/tex]

[tex]l_c^2=4500^2+(1462.11}+900}^2)[/tex]

[tex]l_c=5078.27ft[/tex]

Answer:

D I took this today math 6th grade

Step-by-step explanation:

Answer:first one .

Step-by-step explanation:

n/a

Answer: Five Days

Step-by-step explanation:

Isabella can hike 8 miles per day. So:

[tex]\frac{30miles}{8miles} = 3.75 days[/tex]

It will take:

[tex]\frac{70 miles}{8 miles} = 8.75 days[/tex]

..in total to hike 70 miles.

So, subtracting the two values:

[tex]8.75 - 3.75 = 5[/tex]

She still needs to hike five days in order to finish the trail.

In a given study that the null hypothesis asserts the expected value of a phenomenon is 100 resulting in a 95% confidence interval reported as [98.76, 105.24], then we fail to reject the null hypothesis.

Therefore the answer is d) Fail to reject the null hypothesis.

A 95% confidence interval is a range of values that there is a 95% chance that the true value of a population parameter falls within. In this case, the 95% confidence interval is [98.76, 105.24], which includes the expected value of 100 that is stated in the null hypothesis.

Therefore, we fail to reject the null hypothesis because the data does not provide sufficient evidence to suggest that the true value of the population parameter is different from what is stated in the null hypothesis.

It's worth to mention that, Failing to reject the null hypothesis doesn't mean accepting it, it means that we don't have enough evidence to say that the parameter is different from the null hypothesis, it could be due the sample size, or other factors.

--The question is incomplete, complete question is as follows--

"Assume for a given study that the null hypothesis asserts the expected value of a phenomenon is 100. A research study results in a 95% confidence interval reported as [98.76, 105.24]. What decision would you make based on this confidence interval?

a) A decision cannot be made on a confidence interval; a hypothesis test is required.

b) Retain the null hypothesis.

c) Reject the null hypothesis.

d) Fail to reject the null hypothesis."

To know more on hypothesis test

https://brainly.com/question/28920252

#SPJ4

Answer: Height: 24.9 inch, Width: 44.3 inch

Step-by-step explanation:

The total height of the TV is given by H = 28 inches

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , We can use the Pythagorean theorem to find the height of the TV. Let h be the height of the screen in inches. Then, we have:

h² + 45² = 51²

Simplifying and solving for h:

h² = 51² - 45²

h² = 2601 - 2025

h² = 576

Taking square roots on both sides , we get

h = √(576)

h = 24 inches

Therefore, the height of the screen is 24 inches.

To find the total height of the TV, we need to add the 4 inches from the base to the height of the screen:

Total height of the TV , H = 24 + 4

Total height of the TV , H = 28 inches

Hence , the total height of the TV is 28 inches.

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ2

The complete question is attached below :

Ava has a large-screen TV. The TV has a screen with a 51-inch diagonal and a width of 45 in. The base of the TV is 4 in. from the bottom of the screen. what is the total height,h,in inches, of the TV?

Answer:

The answer is C. 28

Im 96% sure

Based on the two-way table, there seems to be a relationship between the type of books Julia's friends like best and the number of books they have read this month, A. Yes, because those who like fiction read one book at a rate four times that of those who read non-fiction books.

A two-way table, also called a contingency table, is a statistical table that shows the observed frequency for two variables.

The rows of a two-way table indicate one category and the columns indicate the other category.

For instance, based on the two-way table, one can observe that 80% of Julia's friends prefer fiction while 20% prefer non-fiction.

Among those who read 1 book this month, 80% read fiction against 20% who read non-fiction.  Similarly, among those who read 2 books this month, the same 80% read fiction against 20% who read non-fiction.

The number of students who prefer fiction = 60

The number of students who prefer non-fiction = 15

The number of fiction-preferring students who read 1 book this month = 40, which is 80% of the total (40/50 x 100).

The number of fiction-preferring students who read 2 books this month = 20, which is 80% of the total (20/25 x 100).

Thus, we can conclude that Option A is correct.

Learn more about the two-way table at https://brainly.com/question/16148316

#SPJ1

The Two-way Table:

                                       Read 1 book         Read 2 books     Total

Prefer fiction books               40                            20              60

Prefer non-fiction books        10                              5               15

Total                                       50                            25              75

Answer:

6

Step-by-step explanation:

Since its theoretical, i believe itll be 1/6 x 36 which is 6 times.

hope I helped :)

Answer:

If you were to roll the cube 36 times, theoretically, you would expect that number 1 will be rolled 6 times.

Step-by-step explanation:

The probability of getting a 1 after rolling the number cube is equal to [tex]\frac{1}{6}[/tex]. Now we just multiply the probability by the number of rolls and get...

[tex](\frac{1}{6})(36) = 6[/tex]

Therefore, if we were to roll the cube 36 times, theoretically we would expect that number 1 will be rolled 6 times.

Step one =

-3/4x + 25 -1/8x = 1/8x = 1/8x -3 - 1/8x

-7/8x + 25 = -3

Step two =

-7/8x + 25 - 25 = -3 - 25

-7/8x = -28

Step three =

(8/-7) * (-7/8x) = (8/-7) * (-28)

Answer

X = 32

Answer:

720°, 2340°, 180°

Step-by-step explanation:

Look at the attached image of a regular hexagon.  I drew all possible lines from a vertex to other vertices (AC, AD, AE).  Drawing in all those diagonals splits the hexagon into 4 triangles, and adding up the measures of all the triangle angles would account for all the interior angles of the hexagon.

♦  Four triangles have an angle sum of 180° x 4 = 720° (180° in each triangle).

See attached image2 to see what happens in an octagon.  There are six triangles formed, so the total of all interior angle measures is 6 x 180° = 1080°.

What about a 15-sided regular polygon?  How many triangles would be formed by putting in all the diagonals coming from one vertex?  There will be 2 fewer triangles than the number of vertices, 13.

♦  The total of interior angle measures in a 15-gon is 13(180°) = 2340°

♦  A polygon with 3 sides is a single triangle; interior angle sum = 180°

Answer:

y > -5x + 3

Step-by-step explanation:

Answer:

y > –5x + 3

Step-by-step explanation:

we know that

1) The solution of the inequality is the shaded area above the dashed line

so

The linear inequality could be

y > –5x – 3

y > –5x + 3

y > –3x + 5

2) The slope of the dashed line is negative ----> the three options have slope negative

3) The y-intercept of the dashed line is (0,3)

therefore

The linear inequality is

y > –5x + 3

...............................................................................................................................................

Answer:

Step-by-step explanation:

To find the linear inequality , Let pick two points from the graph

Lets pick (0,3) and (1,-2)

Lets find out slope using the points

Slope m= -5

y intercept b= 3

Equation of the line is y=mx+b

Now we look at the shaded part. we use test point (0,0)

(0,0) is not in the shaded region

0 >3 is false

Answer:

Fraction: 97/100

Decimal: 0.97

Percentage: 97%

Step-by-step explanation:

Hope this helped.

97% you just need to substract

Answer:

x > 3

Step-by-step explanation:

This is based on the concept 'when a negative number is multiplied to both sides of the inequality, the sign gets reversed. For example, x > - 2 when it is multiplied by - 1, it becomes - x < 2.'

*only when the number is -ve.

Similarly, in this question, multiply both sides by - 1.

2x > 6

x > 6/2

x > 3

For more : take - 5 > - 2, as you know

Note that 5 is actually greater than 2. To make this true we change signs

Answer:

120 pieces of candy

Step-by-step explanation:

To find c, you need to divide your know values, 18.00 and .15. So 18/.15 = 120.

Shondra bought 120 pieces of candy.

Answer:

Here are a few of the factor pairs. The rest you can find in the pdf below.

Answer:

the total number of shares in the shelf is 11 and their two white shirts in the shelf so the probability of not choosing a white shirt is the total which is 11 minus the two white shirts which will give you nine

the probability of a particular site is given by the formula

required outcome / sample space and the sample space here is 11.

Therefore, it is 9/11 that is the probability of not choosing a white shirt.

Answer:

Nitrogen is needed for plant growth the energy to grow, and produce fruit or vegetables. Nitrogen is part of the chlorophyll molecule, which gives plants their green color and is involved in creating food for the plant.

With too much nitrogen, plants produce excess biomass, or organic matter, such as stalks and leaves, but not enough root structure.

Plants take nitrogen from the soil by absorption through their roots as amino acids, nitrate ions, nitrite ions, or ammonium ions. Plants do not get their nitrogen directly from the air.From here, various microorganisms convert ammonia to other nitrogen compounds that are easier for plants to use.

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

Imagine you cut the figure into two rectangles. This would leave you with a rectangle with the following variables(h=4, w=3, l=9), and a rectangle  with the following variables(H=7, l=3 w=3)